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arXiv · 2204.02387

Probing the nuclear deformation with three-particle asymmetric cumulant in RHIC isobar runs

Shujun Zhao·Hao-jie Xu·Yu-Xin Liu·Huichao Song
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Abstract

$^{96}_{44}$Ru+$^{96}_{44}$Ru and $^{96}_{40}$Zr+$^{96}_{40}$Zr collisions at $\sqrt{s_{_{\rm NN}}}=200$ GeV provide unique opportunities to study the geometry and fluctuations raised from the deformation of the colliding nuclei. Using iEBE-VISHNU hybrid model, we predict ${\rm ac}_{2}\{3\}$ ratios between these two collision systems and demonstrate that the ratios of ${\rm ac}_{2}\{3\}$, as well as the ratios of the involving flow harmonics and event-plane correlations, are sensitive to quadrupole and octupole deformations, which could provide strong constrains on the shape differences between $^{96}$Ru and $^{96}$Zr. We also study the nonlinear response coefficients $\chi_{4,22}$, which show insensitivity to the deformation effect.

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Shujun Zhao, Hao-jie Xu, Yu-Xin Liu, Huichao Song. 2022-04-05. Probing the nuclear deformation with three-particle asymmetric cumulant in RHIC isobar runs. https://doi.org/10.1016/j.physletb.2023.137838

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